Commuting Involution Graphs for 3-Dimensional Unitary Groups

Everett, Alistaire (2011) Commuting Involution Graphs for 3-Dimensional Unitary Groups. [MIMS Preprint]

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For a group G and X a subset of G the commuting graph of G on X, denoted by C(G,X), is the graph whose vertex set is X with x, y in X joined by an edge if x =/= y and x and y commute. If the elements in X are involutions, then C(G,X) is called a commuting involution graph. This paper studies C(G,X) when G is a 3-dimensional projective special unitary group and X a G-conjugacy class of involutions, determining the diameters and structure of the discs of these graphs.

Item Type: MIMS Preprint
Uncontrolled Keywords: Unitary Groups; Involutions; Commuting Involution Graphs
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations
Depositing User: Mr Alistaire Everett
Date Deposited: 18 Jan 2011
Last Modified: 08 Nov 2017 18:18

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